The length of PN is 2.63 feet
<u>Explanation:</u>
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Given:
∠P=90°,
∠O=17°,
OP = 8.6 feet
PN = ?
The given triangle is a right angle triangle as one angle is 90°
We know:


Therefore, the length of PN is 2.63 feet
Answer:
4 hours
Step-by-step explanation:
Since we know he travels at a rate of 1:7.5 all we have to do is divide 7.5 by 30. Do you use proportions? You can set this up as a proportion and the find answer easily.
1
Now we cross product.
7.5 multipled by x =7.5x
1x30=30
so now we have
7.5x=30
Now we have to divide 7.5 on both sides which gives us
x=4
Answer:
x=-15/2
Step-by-step explanation:
Answer: Interval = [103,∞)
Explanation :
A medicine become ineffective if its temperature ever reaches 103 degrees Fahrenheit or more .
So, Interval becomes [103,∞)
i.e. semi-open or semi-closed interval as it includes 
So, we used closed brackets i.e. square brackets and
For '∞' we always use open brackets only.
To start off, you want to make the equations. first, we will make x = chocolate candy and y=caramel candy since thats the order they come in the problem. we know she bought 20 pieces of candy, so we now know our first equation, x+y=20. next, if each chocolate candy costs $.50, that now makes x in our second equation .5x. the y will then be .1y. they then total up to equal $6.80, so our second equation is .5x+.1y=6.8. to then find x, subtract the y from the first equation to get x=20-y. then in the second equation, replace x with y and solve. you then get y=8, so we know britney has 8 caramels. now in the first equation, replace the y to get x+8=20. and now x=12